GCD of 972, 475, 99, 140 Calculator

Given Input numbers are 972, 475, 99, 140

In the factoring method, we have to find the divisors of all numbers

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (972, 475, 99, 140) = 1.

Given numbers are 972, 475, 99, 140

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 475 are 5 x 5 x 19

Prime factors of 99 are 3 x 3 x 11

Prime factors of 140 are 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 972, 475, 99, 140

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(972, 475) = 461700

GCD(972, 475) = ( 972 x 475 ) / 461700

= 972 / 475

= 972

Step2:

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

= 1 / 99

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 972, 475, 99, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 216, 79, 481
• GCD of 788, 394, 34, 776
• GCD of 289, 273, 43, 215
• GCD of 526, 430, 13, 106
• GCD of 700, 815, 14, 358

Given numbers are 972, 475, 99, 140
The greatest common divisor of numbers 972, 475, 99, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 475, 99, 140 is 1.

1. What is the GCD of 972, 475, 99, 140?

GCD of given numbers 972, 475, 99, 140 is 1

2. How to calculate the greatest common divisor of 972, 475, 99, 140?

We can find the highest common divisor of 972, 475, 99, 140 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 972, 475, 99, 140 i.e 1.

3. How can I use the GCD of 972, 475, 99, 140Calculator?

Out the numbers 972, 475, 99, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.